The circumference of a circle is 20 4/35 cm. What is the approximate diameter of the circle? Use 22/7 for π. Enter your answer as a mixed number in simplest form in the box. cm

Answer:

$994.5

Step-by-step explanation:

At an opening of a new art gallery, the owner hired a caterer to serve light snacks. The owner created a budget for 150 people to attend the opening, with a per person food cost of $4.25.

Cost for 150 persons =

150 × $4.25 = $637.5

If the number of guests attending the opening was 56% more than expected, then how much was the final food cost?

Percentage increase = Final value - Initial value /Initial value

56% = x - 150/150

Cross Multiply

0.56 × 150 = x - 150

84 = x - 150

x = 150 + 84

x= 234 people

56% increase means 84 extra people came

Total people that came = 234 people

From the question, we know that: per person food cost of $4.25.

Hence

1 person = $4.25

234 persons =

234 × $4.25

= $994.5

Therefore, the final food cost is $994.5

\(a\div 3 +11 = -5\\\\\implies a\div 3 = -5 -11\\\\\implies a \cdot \dfrac 13 =-16\\\\\implies a = -16 \cdot 3\\\\\implies a = -48\)

Answer:-5 it's already given you the answer its only asking how you got it it's simply asking for the work

Step-by-step explanation: First off you're solving for A, (-5 x 14) which is -70 so now all you need is to do the work for (-70 by 14) and there you have it (probably)

Drawn using the same scale, the shape of the normal curve H will be more spread out than the shape of the normal curve G.

Normal curve, or Gaussian distribution, is a curve that describes data form a variable that has infinite, or very large, number of possible values distributed among the population. It has a symmetric shape, and the distribution rises in the middle, and goes down to the left and to the right. The mean is equal to the mode and median and is located at the middle or top of the curve.

If two normal curves have the same mean, but different standard deviations, then the curve with the larger standard deviation will have a more spread out shape than the other.

If Normal curve H has a standard deviation of 10 and normal curve G has 5, but both has the same mean, then Normal curve H has a more spread out shape than the curve of normal curve G.

Learn more about normal curve here: https://brainly.com/question/1084095

#SPJ4

Cindy should hire the 12th worker as it would result in a net increase in profit, with additional revenue exceeding the cost of hiring. Insufficient information is provided to determine the demand curve for labor or compare its elasticity. Events that would shift the factory's demand for capital include new, more efficient machines and rising wages due to a labor shortage.

a. To determine whether Cindy should hire a 12th worker, we need to compare the additional revenue generated with the additional cost incurred. Hiring the 12th worker would increase total revenue by $150 ($2,750 - $2,600) per day, but it would also increase costs by $100. Therefore, the net increase in total profit would be $50 ($150 - $100). Since the net increase in profit is positive, Cindy should hire the 12th worker.

b. By hiring the 12th worker, Cindy can increase her total revenue from $2,600 per day to $2,750 per day. The additional revenue generated by the 12th worker exceeds the cost of hiring that worker, resulting in a net increase in profit.

c. To determine the firm's demand curve for labor, we need information about the marginal product of labor (MPL) and the wage rates. Unfortunately, this information is not provided, so we cannot complete the labor demand table or derive the demand curve for labor.

Without specific data or information about changes in the quantity of labor demanded and wage rates, we cannot determine which demand curve (from part b or c) is more elastic. The elasticity of the demand curve depends on the responsiveness of the quantity of labor demanded to changes in the wage rate.

The events that would shift the factory's demand for capital are:

a. New shoemaking machines being twice as efficient as older machines would increase the productivity of capital. This would lead to an increase in the demand for capital as the factory would require more capital to produce the same quantity of shoes.

b. The wages that the factory has to pay its workers rising due to an economy-wide labor shortage would increase the cost of labor relative to capital. This would make capital relatively more attractive and lead to an increase in the demand for capital as the factory may substitute capital for labor to maintain production efficiency.

The event "Many consumers decide to walk barefoot all the time" would not directly impact the demand for capital as it is related to changes in consumer behavior rather than the production process of the shoemaking factory.

Learn more about the demand curve at:

brainly.com/question/1139186

#SPJ11

495

Step-by-step explanation:

(5 levels x 75 spaces each) + 120 spaces from lot

(5x75) + 120

495

Answer:

a) 40 inches

b) No it will not fit inside

Step-by-step explanation:

Angharad is buying a new 50-inch screen TV (remember that TV screens are measured along the diagonal )

a) If it is 30 inches tall, how wide is the screen ?

Diagonal ² = Width² + Height²

Diagonal = 50 inches

Height = 30 inches

50² = Width² + 30²

Width² = 50² - 30²

Width = √50² - 30²

Width = √(1600)

Width = 40 inches

b) Her TV cabinet is 30 inches wide .will the TV fit inside it ?

No it will not fit inside

This is because, the width of the TV is the above calculation is 40 inches. This is wider than the width of the TV cabinet, hence, it won't fit inside

Correct option is B. Mrs. Quabarl is best described as outwardly imposing but easily defied.

Mrs. Quabarl is very vocal about her demands and imposing in her wishes as stated in the passage. But she is also docile and surprised when she is defied, though she speaks nothing of it.

There is no indication of her being selfish, or bitter, neither imprudent. Thus, options A,C and D are incorrect.

Lady Carlotta is approached by the “imposingly attired lady” Mrs. Quabarl while standing at a train station (lines 32-35).

Mrs. Quabarl assumes Lady Carlotta is her new nanny, Miss Hope: “You must be Miss Hope, the governess I’ve come to meet” (lines 36-37). Lady Carlotta does not correct Mrs. Quabarl’s mistake and replies, “Very well, if I must I must” (line 39).

To learn more about passages from given link

https://brainly.com/question/12555695

#SPJ4

Answer:

e = 6

Step-by-step explanation:

Step 1: Write equation

-2(8 - e) = 2 - e

Step 2: Solve for e

Step 3: Check

Plug in e to verify it's a solution.

-2(8 - 6) = 2 - 6

-2(2) = -4

-4 = -4

Answer:

8√2

Step-by-step explanation:

Answer:

please see detailed answers below

Step-by-step explanation:

we can work these out with z scores and use of a z-table.

formula is z = (X - υ) / σ, where X is test statistic, υ is the mean and σ is the standard deviation.

a)  z = (X - υ) / σ

= (235 - 204) / 55 = 0.5636.

now go to a z-table. find +0.5 along left column. now find 0.06 on top row. look where these two meet on the table. number is 0.71226. this is area to the left of z = 0.5636. since we want to find probability of at least $235, we need area to the right.

*total area under a normal curve always = 1.

so, area to the right is 1 - 0.71226 = 0.2877 = p(at least $235).

b)  z = (X - υ) / σ

= (120 - 204) / 55 = -1.527.

we find just like in part a). area for this z-score is 0.6301, to the left.

p(< $120) = 0.6301.

c) for $300:

z = (X - υ) / σ

= (300 - 204) / 55 = 1.745.

area to left is 0.95950.

for $210:

z = (X - υ) / σ

= (210 - 204) / 55 = 0.109.

area to left = 0.54380.

p($210 < Z < $300) = p($300) - p($210)

= 0.95950 - 0.54380

= 0.4157.

d) top 10% means we need z area of 0.9.

z-score for that is 1.285.

z = (X - υ) / σ

1.285 = (X - 204) / 55

X - 204 = 1.285(55) = 70.675

X = 70.675 + 204

= 274.675

so cost of 10% most expensive is $274.68 (to nearest cent).

Answer:

The linear function is given by z= log(20) +2y + x, where z=log(Q), y= log(L) and x=log(K).

Explanation:

we have given  Q=f(L, K)=20 L^{2} K^{1}

Taking logarithms on both sides,

                 log(Q) = log(20) + 2log(L) + log(K)

let z=log(Q), y= log(L) and x=log(K)

we obtain

                 z= log(20) +2y + x

If one side of a triangle is increased by 10% and the other side is decreased by 10%, the effect on the area of the triangle depends on the original dimensions and the specific configuration of the triangle.

If the increased side corresponds to the base of the triangle, while the decreased side corresponds to the height, the area of the triangle would remain unchanged. This is because the increase and decrease in the sides cancel each other out, resulting in the same base and height for calculating the area.

However, if the increased side does not correspond to the base and the decreased side does not correspond to the height, the area of the triangle will generally be affected. In this case, the area may increase or decrease depending on the specific lengths of the sides and their respective changes.

To determine the exact effect on the area, you would need more information about the original dimensions of the triangle and how the sides are related to the base and height.

Learn more about triangles here: brainly.com/question/2773823
#SPJ11

Answer:

40

Step-by-step explanation:

Think of it as a tree. At first you have 2 options. There are 4 options from each of the first giving 8. Doing this with the next 5 give 40 options

The zeros of the polynomial function f(x) are 3, -[(2 -i√2) / 3] and  -[(2 + i√2) / 3]

To find the zeros of the polynomial function f(x), we need to find the values of x for which f(x) = 0.

We can start by factoring out a common factor of 3x^2 from the polynomial:

f(x) = 3x^3 - 5x^2 - 10x - 6

f(x) = 3x^2(x - 5/3) - 2(5x + 3)

Now, we can set each factor equal to zero and solve for x:

3x^2(x - 5/3) - 2(5x + 3) = 0

3x^3 - 5x^2 - 10x - 6 = 0

x = 3, -[(2 -i√2) / 3],  -[(2 + i√2) / 3]

Learn more on zeros of function here;

https://brainly.com/question/20901045

https://brainly.com/question/2833285

#SPJ1

We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.

To solve this problem, we can use the formula for the future value of an annuity:

\(FV = P * ((1 + r)^n - 1) / r\)

Where:

FV is the future value of the annuity

P is the periodic payment or deposit amount

r is the interest rate per period

n is the number of periods

In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).

We can rearrange the formula and solve for n:

n = log((FV * r) / (P * r + FV)) / log(1 + r)

Substituting the given values:

n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)

Using a calculator or software, we find that n ≈ 9.989.

Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.

To know more about annual rate click here

brainly.com/question/6026546

#SPJ4

Answer:

54 m squared

Step-by-step explanation:

If you look at it from a birds eye view, the post being in the middle, it's just a 9m*6m rectangle of feeding area.

To find the area that the sheep can feed on, we need to find the area of circle. The area that the sheep can feed on is  254.57 square meters.

We can approach this problem by drawing a diagram:

                 fence

    o------------|------------o

                  |

                  |

                  |

                  |

                  |

                  | 9m

                  |

                  |

                  |

                  |

                  |

                  |

                  |

                  o sheep

               post (6m)

The sheep is tethered to the post, and the rope has a length of 9 meters. The post is 6 meters away from the fence. The sheep can move around in a circle whose center is at the post, and whose radius is the length of the rope.

To find the area that the sheep can feed on, we need to find the area of this circle. The formula for the area of a circle is:

A = πr^2

where A is the area, π (pi) is a mathematical constant approximately equal to 3.14159, and r is the radius.

In this case, the radius is 9 meters, so we have:

A = π(9)^2

 = π(81)

 ≈ 254.57 square meters

Therefore, the area that the sheep can feed on is approximately 254.47 square meters.

Know more about area of circle here:

https://brainly.com/question/10645610

#SPJ11

Answer:

72

Explanation:

First, we can find the top and bottom smaller squares of the rectangular prism. Since we are working with a variety of rectangles, we only need to use the equation L×W.

To start with, let's multiply 2×3, which gives us 6, the surface area of both the bottom and top rectangles, so now we need to multiply it by 2 to account for both of them. 6×2=12

Now, we'll find the surface area of the bigger rectangles in the middle, which are 6 by 3, so again we will need to multiply length times width, then by 2 to count both rectangles. 6×3=18×2=36

Finally, we can find the surface area of the smaller rectangles in the middle, which are 6 by 2. 6×2=12, then multiply by 2 since there are 2 of those rectangles, 12×2=24

Now to find the total surface area, we need to add the gathered surface area from each shape, 12+36+24=72

The smallest positive integer n will be 10 .

To find : the smallest positive integer n such that the rightmost digits of  n ! and ( n + 1 ) ! are same .

Since ,

putting n = 10 gives

n ! = 10 ! = 3628800

and ( n + 1 ) ! = 39916800

Last three digits ( rightmost digits ) ie. 800 are same .

Hence , n = 10 is the required answer ,

Therefore , the smallest positive integer is n = 10 such that the rightmost digits of  n ! and ( n + 1 ) ! are same .

To learn more on integers follow link :

https://brainly.com/question/14453211

#SPJ4

Let's break out one by one number by their standup values

Turn = to × and add all

\(\\ \rm\rightarrowtail 2\times 10000+7\times 1000+3\times 100+8\times 10+5\)

Answer:

A

Step-by-step explanation:

Every digit of a number has a place value.  Place value is the value represented by a digit in a number based on its position in the number.  

In the number 27,385:

2 is in ten thousands place ⇒ 2 × 10,000 so its place value is 20,000

7 is in thousands place ⇒ 7 × 1,000 so its place value is 7,000

3 is in hundreds place ⇒ 3 × 100 so its place value is 300

8 is in tens place ⇒ 8 × 10 so its place value is 80

5 is in units place so its place value is 5

Therefore,

27,385 = 2 × 10,000 + 7 × 1,000 + 3 × 100 + 8 × 10 + 5

So the answer is A

Ans .: Interval of one standard deviation from the mean = 63.5 to 90.5.

To find the interval of one standard deviation from the mean for this sample, we need to first calculate the mean and standard deviation.

The mean is found by adding up all the numbers in the sample and dividing by the total number of numbers:

(61 + 69 + 69 + 74 + 85 + 87 + 97) / 7 = 77

So the mean is 77.

To find the standard deviation, we need to calculate the variance first. The variance is found by subtracting each number in the sample from the mean, squaring the result, adding up all the squared results, and dividing by the total number of numbers:

((61-77)^2 + (69-77)^2 + (69-77)^2 + (74-77)^2 + (85-77)^2 + (87-77)^2 + (97-77)^2) / 7 = 183.43

So the variance is 183.43.

The standard deviation is the square root of the variance:

√183.43 ≈ 13.5

So the standard deviation is approximately 13.5.

To find the interval of one standard deviation from the mean, we need to subtract and add the standard deviation to the mean:

77 - 13.5 = 63.5

77 + 13.5 = 90.5

So the interval of one standard deviation from the mean for this sample is approximately 63.5 to 90.5.

We round the non-integer results to the nearest tenth, so the final answer is:

Interval of one standard deviation from the mean = 63.5 to 90.5.

Learn more about :

standard deviation : brainly.com/question/29808998

#SPJ11

Answer:

Taylor will earn $27.60 after the raise.

Step-by-step explanation:

If you take $24.00 and multiply it by $1.15, your answer should be $27.60. Therefore, this is the answer to your question.

Hopefully this helps, did the best I could!

Answer:8/3x

Step-by-step explanation:tell if this didnt work

Answer:

0; 9

1; 4

2; 1

3; 0

Step-by-step explanation:

Trust me. It have a B+ in Geometry

Answer:

23

Step-by-step explanation:

small brain

Answer:

a)

\(2.3860000 \times {10}^{7} \)

b)

\(6.89 \times {10}^{ - 3} \)

Answer:

The last choice

Step-by-step explanation:

5^2 + 12^2 = 13^2

25 + 144 = 169

the last one!

the sum of it is 169

x = 2

5x + 10 x = 18 + 12

15x = 30

x = 2

Answer:

x=-2

Step-by-step explanation:

A statement of inequality that correctly compares two numbers is: D. 6,365.1 < 6,365.999.

A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers only. This ultimately implies that, a numerical data refers to a data set consisting of numbers rather than words.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:

In this scenario, a statement of inequality that correctly compares two numbers is 6,365.1 < 6,365.999.

Read more on inequality here: brainly.com/question/14361489

#SPJ1